Question

Thirty-four small communities in Connecticut (population near
10,000 each) gave an average of *x* = 138.5 reported cases
of larceny per year. Assume that *?* is known to be 40.1
cases per year.

(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

lower limit | |

upper limit | |

margin of error |

(b) Find a 95% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)

lower limit | |

upper limit | |

margin of error |

(c) Find a 99% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)

lower limit | |

upper limit | |

margin of error |

(d) Compare the margins of error for parts (a) through (c). As the
confidence levels increase, do the margins of error increase?

As the confidence level increases, the margin of error increases.As the confidence level increases, the margin of error remains the same. As the confidence level increases, the margin of error decreases.

(e) Compare the lengths of the confidence intervals for parts (a)
through (c). As the confidence levels increase, do the confidence
intervals increase in length?

As the confidence level increases, the confidence interval increases in length.As the confidence level increases, the confidence interval remains the same length. As the confidence level increases, the confidence interval decreases in length.

Answer #1

Given information:

(a)

For 90% confidence interval, using excel function "=NORMSINV(0.95)", critical value of z is . So required confidence interval is

Margin of error: 11.3

Lower limit: 127.2

Upper limit: 149.8

(b)

For 95% confidence interval, using excel function "=NORMSINV(0.975)", critical value of z is . So required confidence interval is

Margin of error: 13.5

Lower limit: 125.0

Upper limit: 152.0

(c)

For 99% confidence interval, using excel function "=NORMSINV(0.995)", critical value of z is . So required confidence interval is

Margin of error: 17.7

Lower limit: 120.8

Upper limit: 156.2

(d)

As the confidence level increases, the margin of error increases.

(e)

As the confidence level increases, the confidence interval increases in length.

Thirty-three small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 41.5
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-one small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 45.1
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-two small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 42.3
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-four small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases of larceny
per year. Assume that σ is known to be 40.3 cases per year. (a)
Find a 90% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.) lower
limit upper limit margin of error (b) Find a 95% confidence
interval for the...

Thirty small communities in Connecticut (population near 10,000
each) gave an average of x = 138.5 reported cases of larceny per
year. Assume that σ is known to be 42.5 cases per year. (a) Find a
90% confidence interval for the population mean annual number of
reported larceny cases in such communities. What is the margin of
error? (Round your answers to one decimal place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-one small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 43.3
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-one small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 44.5
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-two small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases of larceny
per year. Assume that σ is known to be 40.5 cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal place.)
lower limit upper limit margin of error
(b) Find a 95% confidence interval for the...

Thirty-two small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 45.1
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-four small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 40.9
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 21 minutes ago

asked 41 minutes ago

asked 42 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago